I have a number of true statements. Each of these statements is a case where I have difficulty seeing how (assuming physicalism) the statement could correspond to a state of affairs. My question is: how do correspondence theories account for statements like these?
There are infinitely many prime numbers.
A unit circle has circumference 2π.
There is no Turing machine which solves the halting problem.
If 2+2=3, then there is a number larger than every prime number.
If a purple unicorn materialized in my room ten minutes from now, I would be surprised.